SOLUTION: A farmer needs to enclose three sides of a rectangular pasture with
a fence (the fourth side is a river). The farmer has 46 feet of fence
and wants the pasture to have an area
Algebra.Com
Question 1161216: A farmer needs to enclose three sides of a rectangular pasture with
a fence (the fourth side is a river). The farmer has 46 feet of fence
and wants the pasture to have an area of 260 sq-feet. What should the dimensions of the pasture be? (For the purpose of this problem, the width
will be the smaller dimension (needing two sides); the length with be the longer dimension (needing one side). Additionally, the length should be as
long as possible.)
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
let the smaller side be and longer side
if the farmer has feet of fence and needs to enclose three sides of a rectangular pasture, then we have
......solve for
.......eq.1
if he wants the pasture to have an area of sq-feet, then
..........eq.2.......substitute from eq.1
..........factor
solutions:
if ->
if ->
since he wants the length should be as long as possible, the width will be
go to
.......eq.1, substitute
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